Communications Toolbox

gfprimdf

Provide default primitive polynomials for a Galois field

Syntax

pol = gfprimdf(m);
pol = gfprimdf(m,p);

Description

pol = gfprimdf(m) returns the row vector that gives the coefficients, in order of ascending powers, of MATLAB's default primitive polynomial for GF(2^m). m is a positive integer.

pol = gfprimdf(m,p) returns the row vector that gives the coefficients, in order of ascending powers, of MATLAB's default primitive polynomial for GF(pm). m is a positive integer and p is a prime number.

Examples

The command below shows that 2 + x + x² is the default primitive polynomial for GF(5²).

pol = gfprimdf(2,5)

pol =

     2     1     1

The code below displays the default primitive polynomial for each of the fields GF(2^m), where m ranges between 3 and 5.

for m = 3:5
   gfpretty(gfprimdf(m))
end
 
                                           3
                                  1 + X + X 
 
                                           4
                                  1 + X + X 
 
                                       2    5
                                  1 + X  + X 

See Also
gfprimck, gfprimfd, gftuple, gfminpol

gfprimck

gfprimfd